Random interlacement models

• Grant number: 17/02022-2
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2017
• End date: April 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Serguei Popov
• Grantee: Serguei Popov
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas
• Associated researchers: Caio Teodoro de Magalhães Alves ; Christophe Frédéric Gallesco ; Darcy Gabriel Augusto de Camargo Cunha ; Diego Fernando de Bernardini ; Marina Vachkovskaia

Abstract

We plan to study the model of random interlacements, in different dimensions. Besides considering the classical case of dimensions at least 3, we will also work with random interlacements in dimensions 1 and 2. (AU)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

COMETS, FRANCIS; POPOV, SERGUEI. Two-Dimensional Brownian Random Interlacements. POTENTIAL ANALYSIS, v. 53, n. 2, p. 727-771, AUG 2020. (17/02022-2)

DE BERNARDINI, DIEGO F.; GALLESCO, CHRISTOPHE; POPOV, SERGUEI. An Improved Decoupling Inequality for Random Interlacements. Journal of Statistical Physics, v. 177, n. 6, p. 1216-1239, DEC 2019. (17/02022-2, 14/14323-9, 17/10555-0, 17/19876-4)

DE BERNARDINI, DIEGO F.; GALLESCO, CHRISTOPHE; POPOV, SERGUEI. On uniform closeness of local times of Markov chains and i.i.d. sequences. Stochastic Processes and their Applications, v. 128, n. 10, p. 3221-3252, OCT 2018. (16/13646-4, 17/02022-2)